How to find the mass of air in a room knowing that the length is 12.3, the width is 2.56, and the height is 3.2.
June 1, 2021 | education
| Given:
a = 12.3 meters – the length of the room;
b = 2.56 meters – the width of the room;
c = 3.2 meters – room height;
ro = 1.3 kilograms / cubic meter – air density (under normal conditions).
It is required to determine the mass of air m (kilogram).
Since it is not specified in the problem statement, we assume that the room has the geometric shape of a rectangular parallelepiped. Then, the volume of the room will be equal to:
V = a * b * c = 12.3 * 2.56 * 3.2 = 31.488 * 3.2 = 100.8 m3 (the result is rounded to one decimal place).
The air mass will be equal to:
m = ro * V = 1.3 * 100.8 = 131.04 kilograms.
Answer: the mass of air in a room is approximately 131 kilograms.
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